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Finding the Third Proportional to 8,878 and 12,053

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Solution

The third proportional to 8,878 and 12,053 is: 16,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878 : 12,053 = 12,053 : x
  2. Step 2: Convert to fraction form
    8,878/12,053 = 12,053/x
  3. Step 3: Cross multiply
    8,878x = 12,053 × 12,053
  4. Step 4: Simplify right side
    8,878x = 145,274,809
  5. Step 5: Solve for x
    x = 145,274,809/8,878
  6. Step 6: Final answer
    x = 16,363.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.